Item – Theses Canada

​
OCLC number
1033019173
Link(s) to full text
LAC copy
LAC copy
Author
Li, Chao.
Title
A Local Twisted Trace Formula and Twisted Orthogonality Relations.
Degree
Ph. D. -- University of Toronto, 2012
Publisher
Toronto : University of Toronto, 2012.
Description
1 online resource
Notes
Includes bibliographical references.
Abstract
Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur's local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur's results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations.
Other link(s)
hdl.handle.net
tspace.library.utoronto.ca
Subject
Trace Formula.
Orthogonality Relations.
Twisted Reductive Groups.
Elliptic Representations.
0405.